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On the mean speed of bistable transition fronts in unbounded domains

发布者:文明办作者:发布时间:2020-06-04浏览次数:10


ZHUJIANGREN:GUOHONGJUN  TONGJIDAXUETEPINYANJIUYUAN


SHIJIAN:2021NIAN6YUE8RI15:00


DIDIAN:SANHAOLOU301SHI


JUBANDANWEI:SHULIXUEYUAN


ZHUJIANGRENJIESHAO:GUOHONGJUNBOSHI,XIANWEITONGJIDAXUESHUXUEKEXUEXUEYUANTEPINYANJIUYUAN,2012NIANYULANZHOUDAXUEBENKEBIYE,2018NIANYUFAGUOAix-Marseille Université  HUOBOSHIXUEWEI,DAOSHIWEIGUOJIZHIMINGYINGYONGSHUXUEJIAF. HamelJIAOSHOU。GUOHONGJUNBOSHIDEYANJIULINGYUWEIPAOWUFANGCHENGHEGUANGYIXINGBOJIEWENTI,ZAIMath. Ann., J.  Math. Pures Appl., Calc. Var. Part. Differ. Equ., J. Diff.  EquationsDENGGUOJIQIKANFABIAOGUOXUESHULUNWEN。


NEIRONGJIESHAO:This talk is concerned with the existence and further properties of propagation  speeds of transition fronts for bistable reaction-diffusion equations in  exterior domains and in some domains with multiple cylindrical branches. In  exterior domains we show that all transition fronts propagate with the same  global mean speed, which turns out to be equal to the uniquely defined planar  speed. In domains with multiple cylindrical branches, we show that the solutions  emanating from some branches and propagating completely are transition fronts  propagating with the unique planar speed. We also give some geometrical and  scaling conditions on the domain, either exterior or with multiple cylindrical  branches, which guarantee that any transition front has a global mean speed.